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Simplifying 16x + 3x + -4x + 30 = 2x + 82 Reorder the terms: 30 + 16x + 3x + -4x = 2x + 82 Combine like terms: 16x + 3x = 19x 30 + 19x + -4x = 2x + 82 Combine like terms: 19x + -4x = 15x 30 + 15x = 2x + 82 Reorder the terms: 30 + 15x = 82 + 2x Solving 30 + 15x = 82 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + 15x + -2x = 82 + 2x + -2x Combine like terms: 15x + -2x = 13x 30 + 13x = 82 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 13x = 82 + 0 30 + 13x = 82 Add '-30' to each side of the equation. 30 + -30 + 13x = 82 + -30 Combine like terms: 30 + -30 = 0 0 + 13x = 82 + -30 13x = 82 + -30 Combine like terms: 82 + -30 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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